Question

HELP ASP PLEASE math

Answer 1

Answer: D

Explanation:

`3x^2-x+2=0`

`\text{Solve \ with \ the \ quadratic \ formula \mathrm{for\:}\quad a=3,\:b=-1,\:c=2}`

`x_(1,\:2)=(-\left(-1\right)\pm √(\left(-1\right)^2-4\cdot \:3\cdot \:2))/(2\cdot \:3)`
`\rightarrow √(\left(-1\right)^2-4\cdot \:3\cdot \:2) =√(1-24) =√(-23) =√(-1)√(23) =√(23)i`

`x_(1,\:2)=(-\left(-1\right)\pm √(23)i)/(2\cdot \:3)`

`x_1=(-\left(-1\right)+√(23)i)/(2\cdot \:3),\:x_2=(-\left(-1\right)-√(23)i)/(2\cdot \:3)`

`x_1=(1+√(23)i)/(6),\:x_2=(1-√(23)i)/(6)`